The generalized - expansion method for finding travelling wave solutions of the loaded Korteweg - de Vries equation with variable coefficients.
The generalized - expansion method for finding travelling wave solutions of the loaded Korteweg - de Vries equation with variable coefficients.
Abstract
This paper is dedicated to find the solutions of the equation of the loaded Korteweg - de Vries
equation with variable coefficients. It is shown to find the solutions via - expansion method that
is one of the most effective way of finding solutions.
References
A. Bekir, Application of the (G‘/G) - expansion method for nonlinear evolution equations, Phys. Lett. A, 372, 3400 (2008).
S. Zhang, J. L. Tong, W. Wang, A generalized (G‘/G) - expansion methodfor the mKdV equation with variable coe?cients, Phys. Lett. A, 372, 2254 (2008).
M. Wang, X. Li, J. Zhang, The (G‘/G) - expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics, PhysLett. A., 372, 417 (2008).
Urazboev G.U., Baltaeva I.I., Rakhimov I.D. A generalized -expansion method for the loaded Korteweg-de Vries equation. Sibirskii Zhurnal Industrial‘noi Matematiki, 2021, vol. 24, p. 139. https://doi.org/10.33048/SIBJIM.2021.24.410(in Russian)
Baltaeva I. I., Rakhimov I. D., Khasanov M. M. Exact Traveling Wave Solutions of the Loaded Modified Korteweg-de Vries Equation. The Bulletin of Irkutsk State University. Series Mathematics, 2022, vol. 41, pp. 85–95. https://doi.org/10.26516/1997-7670.2022.41.85
Urazboev G.U., Khasanov M.M.,Rakhimov I.D. Generalized (G′/G) – expansion Method and Its Applications to the Loaded Burgers Equation // Azerbaijan Journal of Mathematics. vol. 13, No 2, 2023, July, ISSN 2218-6816, pp. 248-257. https://doi.org/10.59849/2218-6816.2023.2.248
Baimankulov А. T., Khasanov M. M., Ismailov A. O., Ganjaev O. Y. Generalized (G'/G) – expansion method for the loaded shallow water wave equation // ВЕСТНИК Национальной инженерной академии Республики Казахстан. №2(87) Алматы 2023 с.118-125.
https://doi.org/10.47533/2023.1606-146X.12
Xasanov M. M., Ganjaev O.Y., Omonov Sh.Sh. A generalized direct methods for the loaded nonlinear Degasperis-Procesi equation // Ilm sarchashmalari. 4.2023. Urganch ‒ 2023, pp. 29-32.
